Koopman operator theory considers an alternate representation of a dynamic system where the state evolution of a nonlinear system is linear. In this representation, the concepts of vibrational, growth, and decay modes in linear systems can be directly extended to nonlinear systems [1]}. These modes address problems in the field of fluid mechanics [2]}, [3]}, [4]} and disease modeling [5]}, as well as programming the steady state of biological systems [6]} or extracting new biosensors [7]}. The spectral properties of the linear Koopman operator in this function space connects to model reduction, validation, identification and control [8]}. Since Mezić's first paper on the spectral properties of the Koopman operator, computing Koopman modes has become a major research focus [9]}, [10]}. The central algorithm for computing these modes is dynamic mode decomposition (DMD).
